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đ¤đ=đ¤đ1{đâ¤đ}+đ¤đ1{đ>đ}=âŤ10âŤ1đĽđĽđđŚđđĽ+âŤ10âŤđĽ0đŚđđŚđđĽ=13. EV= 1-EU = 1/3 COV(U,V) = E(UV) - EUEV=1/36
Cov(X,Y)= -2 E[XâŁY=y]= -2/5*y Var(XâŁY=y)= 1/5
a) No, it is not a valid PDF, but there is a constant c making cf1 a valid PDF. b) No, it is not a valid PDF, and there is no constant c making cf2 a valid PDF.
a) 1-((e^z)*(ln(3/2))) b) 1